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215064 = 233229103
BaseRepresentation
bin110100100000011000
3101221000100
4310200120
523340224
64335400
71554003
oct644030
9357010
10215064
11137643
12a4560
1376b75
145853a
1543ac9
hex34818

215064 has 48 divisors (see below), whose sum is σ = 608400. Its totient is φ = 68544.

The previous prime is 215063. The next prime is 215077. The reversal of 215064 is 460512.

215064 = T107 + T108 + ... + T135.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2037 + ... + 2139.

It is an arithmetic number, because the mean of its divisors is an integer number (12675).

2215064 is an apocalyptic number.

215064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 215064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304200).

215064 is an abundant number, since it is smaller than the sum of its proper divisors (393336).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

215064 is a wasteful number, since it uses less digits than its factorization.

215064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 215064 is about 463.7499326146. The cubic root of 215064 is about 59.9132078459.

Adding to 215064 its reverse (460512), we get a palindrome (675576).

The spelling of 215064 in words is "two hundred fifteen thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 103 116 174 206 232 261 309 348 412 522 618 696 824 927 1044 1236 1854 2088 2472 2987 3708 5974 7416 8961 11948 17922 23896 26883 35844 53766 71688 107532 215064